On a Geometric Structure of Pure Multi-qubit Quantum States and Its Applicability to a Numerical Computation
| dc.creator | Kato, Kimikazu | |
| dc.creator | Oto, Mayumi | |
| dc.creator | Imai, Hiroshi | |
| dc.creator | Imai, Keiko | |
| dc.date | 2006-07-04 | |
| dc.date.accessioned | 2026-07-07T07:22:52Z | |
| dc.date.available | 2026-07-07T07:22:52Z | |
| dc.description | For one-qubit pure quantum states, it is already proved that the Voronoi diagrams with respect to two distances -- Euclidean distance and the quantum divergence -- coincide. This fact is a support for a known method to calculate the Holevo capacity. To consider an applicability of this method to quantum states of a higher level system, it is essential to check if the coincidence of the Voronoi diagrams also occurs. In this paper, we show a negative result for that expectation. In other words, we mathematically prove that those diagrams no longer coincide in a higher dimension. That indicates that the method used in one-qubit case to calculate the Holevo capacity might not be effective in a higher dimension. | |
| dc.description | 6 pages, 2 figures, presented at the International Symposium on Voronoi Diagrams 2006 (ISVD2006) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0607029 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0607029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115814 | |
| dc.subject | Quantum Physics | |
| dc.title | On a Geometric Structure of Pure Multi-qubit Quantum States and Its Applicability to a Numerical Computation | |
| dc.type | text |